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Finding the Fourth Proportional to 211.37, 312.62 and 211.37

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Solution

The fourth proportional to 211.37, 312.62 and 211.37 is: 312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.37 : 312.62 = 211.37 : x
  2. Step 2: Convert to fraction form
    211.37/312.62 = 211.37/x
  3. Step 3: Cross multiply
    211.37x = 312.62 × 211.37
  4. Step 4: Simplify right side
    211.37x = 66,075.87
  5. Step 5: Solve for x
    x = 66,075.87/211.37
  6. Step 6: Final answer
    x = 312.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.